Math 511-1 Fall 2005

Numerical Methods for Partial Differential Equations

What's New?

Please check Blackboard for the latest news and course materials.

. Course Info

Classroom Hours:
MWF 12-12:50pm
Classroom Location:
133 TMCB

Instructor:
Sum Chow (http://www.math.byu.edu/~schow)
Email/ Phone
schow@math.byu.edu (801)378-9088

Class Web Page:
http://www.math.byu.edu/~schow/math511F2005.html
Office Hours:
WF 10:30--11:30 am, M (in math lab) 2-3pm and by appointment.

Textbooks

Text: Finite Difference Schemes and Partial Differential Equations, 2^nd edition, J.C. Strikwerda ,

SIAM

References:

Numerical Solution of Partial Differential Equations, K W Morton and D F Mayers, CUP, 1993.
Numerical Analysis of Differential Equations, A. Iserles, Cambridge University Press, 1996.
Computational Differential Equations, K. Eriksson, D. Estep, P. Hansbo and C. Johnson, Cambridge University Press, 1996.
Numerical Partial Differential Equations, J.W. Thomas, Springer,1995.

Pre-requisite:

Pre-requisite: Math 311 (Introduction to Numerical Methods), Math 343 (Elementary Linear Algebra), Math 213 (Advanced Engineering Mathematics) or Math 347 (Introduction to Partial Differential Equations); or equivalent. Computer literacy is expected. Good programming skill desired. Strong undergraduate linear algebra background preferred.

Course Objective:

To familiarize the students with the basic concepts and techniques relating to numerical solutions of partial differential equations using finite difference method so as to enable them to apply the materials in other subject areas. Other numerical methods such as finite element method and spectral method will also be briefly discussed.

Syllabus:

Finite difference methods for hyperbolic, parabolic and elliptic problems. Stability, consistency, and convergence theory. Covering chapters 1,2,3,5,6,7,12 of textbook, with brief overview of materials in chapters 13 and 14 and survey of finite element and spectral methods.

Course Syllabus is available on Blackboard.

Homework:

Assignments will generally be collected every class days. Homework handed in more than two business days late will not be accepted. Collaborative discussion is encouraged when completing homework and project assignments. However, plagiarism is not acceptable (see Honor Code.)

Reminder: assigned homework is representative of the minimal set of problems that you should attempt. In general you should also work on as many unassigned problems as possible.

Projects:

Three computational projects will be assigned during the semester. A final project should be submitted by the last day of class. A brief presentation is also required. The projects may be a team effort with no more than three students per team. A list of final projects will be provided early in the semester.

Tests:

Two mid-term tests are currently scheduled. Made up test may not be arranged except in case of emergency or absence due to official university business. If you want to attend special events, e.g., your sister's wedding or your nephew's baptism, you may arrange to take the test up to a week prior to but not after the set test date. See homework schedule for dates. Location: Testing center. Midterm exams grades are computed as max(midterm, final).

Final:

The final exam will be given on Thursday, Dec 15, 2005 , 11a.m.-2p.m. in 133 TMCB.

Grading Scheme:

Course grade will be calculated from the following distribution

Assignments (collected in class)	30 %
Project (3)	18 %
Test (2)	20 %
Final Project	12 %
Final	20 %

Please keep track of your homework, quizzes, and examination scores so that you will be able to determine your grade during the course. Grades will not be posted at the end of the semester.

Resources

Numerical Analysis Resources (under construction)

Miscellaneous

Cell Phone Usage

Please mute or turn off your cell phone before class. If your phone rings during class, I get very distressed and may act (even more) irrationally!! Please be considerate!

Preventing Sexual Harassment

Title IX of the Education Amendments of 1972 prohibits sex discrimination against any participant in an education program or activity that receives federal funds. The act is intended to eliminate sex discrimination in education. Title IX covers discrimination in programs, admissions, activities, and student-to-student sexual harassment. BYU's policy against sexual harassment extends not only to employees of the university but to students as well. If you encounter unlawful sexual harassment or gender based discrimination, please talk to your professor; contact the campus Equal Employment Office at 422-5895 or 367-5689 (24-hours); or contact the Honor Code Office at 422-2847.

Students with Disabilities

Brigham Young University is committed to providing a working and learning atmosphere that reasonably accommodates qualified persons with disabilities. If you have any disability, which may impair your ability to complete this course successfully, please contact the Services for Students with Disabilities (SSD) Office at 422-2767. Please also inform the instructor about your situation during the first week of class. Reasonable academic accommodations are reviewed for all students who have qualified documented disabilities. Services are coordinated with the students and the instructor in consultation by the SSD Office. If you need assistance or if you feel you have been unlawfully discriminated against on the basis of disability, you may seek resolution through established grievance policy and procedures. You should contact the Equal Employment Office at 422-5895, D-282 ASB.

Dress and Grooming Standards

The dress and grooming of both men and women should always be modest, neat, and clean, consistent with the dignity adherent to representing The Church of Jesus Christ of Latter-day Saints and any of its institutions of higher learning. Modesty and cleanliness are important values that reflect personal dignity and integrity, through which students, staff, and faculty of BYU represent the principles and standards of the Church.

Honor Code

As a reminder, students are expect to adhere to the Honor Code. In particular, academic dishonesty will not be tolerated.